What is the inverse of the function: $f(x) = 3x + 2$ ?

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Answer 1 · 2015-07-20T21:06:40

$f^-1(y) = (y-2)/3$

Let $y = f(x) = 3x+2$

Solve for $x$ ...

Subtract $2$ from both ends to get:

$y - 2 = 3x$

Divide both sides by $3$ to get:

$x = (y-2)/3$

Hence $f^-1(y) = (y-2)/3$

What is the inverse of the function: f(x) = 3x + 2f(x) = 3x + 2?